Defining parameters
Level: | \( N \) | \(=\) | \( 4014 = 2 \cdot 3^{2} \cdot 223 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4014.k (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2007 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4014, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1352 | 448 | 904 |
Cusp forms | 1336 | 448 | 888 |
Eisenstein series | 16 | 0 | 16 |
Decomposition of \(S_{2}^{\mathrm{new}}(4014, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4014, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4014, [\chi]) \cong \)